|
|
A238401
|
|
Floor(sum(i/(i+1)),i=1..n).
|
|
1
|
|
|
0, 0, 1, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,5
|
|
COMMENTS
|
The first numbers which appear twice in the sequence are 0, 1, 7, 26, 77, 220, 608, 1665, 4540, 12356, 33605, 91367, 248383, 675199,... - Giovanni Resta, Feb 26 2014
|
|
LINKS
|
|
|
FORMULA
|
|
|
EXAMPLE
|
a(3) = floor(0/1 + 1/2 + 2/3 + 3/4) = floor(1.91666...) = 1.
|
|
MATHEMATICA
|
Floor[Accumulate[Table[i/(i+1), {i, 0, 70}]]] (* Harvey P. Dale, May 18 2023 *)
|
|
PROG
|
(JavaScript)
c=0;
for (i=1; i<50; i++) {
c+=i/(i+1);
document.write(Math.floor(c)+", ");
}
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|